A self-balancing robot needs to maintain upright posture against disturbances; which technique proves that small corrections converge to stability?

💡 Explanation

Lyapunov stability utilizes a potential function that decreases with each correction, thereby demonstrating convergence to a stable equilibrium, because the function acts as a mathematical proof of stability. Therefore, Lyapunov stability is the correct technique, rather than brute-force simulation which lacks formal proof or Monte Carlo which is probabilistic.

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